Of the 8 people having a meal, 5 are having fries, 4 are having burgers and 3 having bacon. no other food is at the table. Each person is eating at least 1 item. If exactly 4 people are eating exactly 2 food items, how many people are eating all 3 items?
A. 0
B. 1
C. 2
D. 3
E. 4
The OA is A.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Of the 8 people having a meal...
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Hello LUANDATO.
Here, we will use the following formula:
$$\left|F\ o\ B\ o\ b\right|=\left|F\right|+\left|B\right|+\left|b\right|-\left(\left|F\ y\ B\right|+\ \left|F\ y\ b\right|+\ \left|B\ y\ b\right|\right)+\left|F\ y\ B\ y\ b\right|$$
where "F" are the people having fries, "B" having burgers and "b" having bacon.
Replacing the data, we get $$5=5+4+3-\left(4\right)+\left|F\ y\ B\ y\ b\right|$$ So $$\left|F\ y\ B\ y\ b\right|=0.$$
The correct answer is A .
I hope this explanation may help you.
Feel free to ask me again if you a doubt,
Regards,
Here, we will use the following formula:
$$\left|F\ o\ B\ o\ b\right|=\left|F\right|+\left|B\right|+\left|b\right|-\left(\left|F\ y\ B\right|+\ \left|F\ y\ b\right|+\ \left|B\ y\ b\right|\right)+\left|F\ y\ B\ y\ b\right|$$
where "F" are the people having fries, "B" having burgers and "b" having bacon.
Replacing the data, we get $$5=5+4+3-\left(4\right)+\left|F\ y\ B\ y\ b\right|$$ So $$\left|F\ y\ B\ y\ b\right|=0.$$
The correct answer is A .
I hope this explanation may help you.
Feel free to ask me again if you a doubt,
Regards,
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We can use the formula:BTGmoderatorLU wrote:Of the 8 people having a meal, 5 are having fries, 4 are having burgers and 3 having bacon. no other food is at the table. Each person is eating at least 1 item. If exactly 4 people are eating exactly 2 food items, how many people are eating all 3 items?
A. 0
B. 1
C. 2
D. 3
E. 4
The OA is A.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
Total = #(Fries) + #(Burgers) + #(Bacons) - #(Exactly 2 items) - 2 x #(All 3 items)
If we let T = number of people who eat all 3 items, we can create the equation:
8 = 5 + 4 + 3 - 4 - 2T
0 = 2T
0 = T
Answer: A
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